A pulley system lifts a 500-lb. block 2.0 feet with an effort of only 50 lb. If the 50 lb. moves 30 feet, calculate the efficiency of the pulley system.

Respuesta :

the answer to this is 67%

Answer:

Efficiency of the pulley system is 66.7 %

Explanation:

It is given that,

Input force, [tex]F_{in}=500\ lb[/tex]

Distance, d₁ = 2 feet

Output force, [tex]F_{out}=50\ lb[/tex]    

Distance, d₂ = 30 feet

The efficiency of pulley system is defined as ratio of output work done to the input work done i.e.

[tex]\eta=\dfrac{W_{out}}{W_{in}}[/tex]

[tex]\eta=\dfrac{500\times 2}{50\times 30}\times 100[/tex]

[tex]\eta=66.7\%[/tex]      

Hence, the efficiency of the pulley system is 66.7 %